Results 21 to 30 of about 10,759 (309)
Asymptotic analysis of multiple-relaxation-time lattice Boltzmann schemes for mixture modeling [PDF]
, 2008 A new lattice Boltzmann model for simulating ideal mixtures has been developed by means of the multiple-relaxation-time (MRT) approach. When compared with the previous single-relaxation-time (SRT) formulation of the same model, based on the continuous ...
Asinari, Pietro
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Lattice Boltzmann-Langevin Equations
, 1993 Intrinsic fluctuations around the solution of the lattice Boltzmann equation are described or modeled by addition of a white Gaussian noise source. For stationary states a fluctuation-dissipation theorem relates the variance of the fluctuations to the linearized Boltzmann collision operator and the pair correlation function.
Dufty, J.W., Ernst, M.H.
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Statistical mechanics of the fluctuating lattice Boltzmann equation [PDF]
Physical Review E, 2007 We propose a new formulation of the fluctuating lattice Boltzmann equation that is consistent with both equilibrium statististical mechanics and fluctuating hydrodynamics. The formalism is based on a generalized lattice-gas model, with each velocity direction occupied by many particles.
Dünweg, B, Schiller, UD, Ladd, AJ
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Journal of Applied Mathematics, 2012 An explicit finite difference scheme for one-dimensional Burgers equation is derived from the lattice Boltzmann method. The system of the lattice Boltzmann equations for the distribution of the fictitious particles is rewritten as a three-level finite ...
Qiaojie Li +3 more
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Fluctuating lattice Boltzmann method for the diffusion equation [PDF]
Physical Review E, 2016 We derive a fluctuating lattice Boltzmann method for the diffusion equation. The derivation removes several shortcomings of previous derivations for fluctuating lattice Boltzmann methods for hydrodynamic systems. The comparative simplicity of this diffusive system highlights the basic features of this first exact derivation of a fluctuating lattice ...
Wagner, Alexander J., Strand, Kyle
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A Truly Second-Order and Unconditionally Stable Thermal Lattice Boltzmann Method
Applied Sciences, 2017 An unconditionally stable thermal lattice Boltzmann method (USTLBM) is proposed in this paper for simulating incompressible thermal flows. In USTLBM, solutions to the macroscopic governing equations that are recovered from lattice Boltzmann equation (LBE)
Zhen Chen, Chang Shu, Danielle S. Tan
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Two-dimensional stable lattice Boltzmann simulation of turbulent flow in wavy walled channel
AIP Advances, 2023 In recent years, the lattice Boltzmann equation has developed into a promising technique for computational fluid dynamics (CFD). The lattice Boltzmann model (LBM) approach is derived from the Boltzmann equation and kinetic theory, as opposed to the ...
Riffat Habib +4 more
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Lattice Boltzmann equation for quantum mechanics
Physica D: Nonlinear Phenomena, 1993 IBM text-proc ...
Succi, S., Benzi, R.
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MathematicsThe generalized Zakharov equation is a widely used and crucial model in plasma physics, which helps to understand wave particle interactions and nonlinear wave propagation in plasma.
Huimin Wang +3 more
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Lattice Boltzmann model of percutaneous drug absorption
Theoretical and Applied Mechanics Letters, 2019 A lattice Boltzmann numerical modeling method was developed to predict skin concentration after topical application of a drug on the skin. The method is based on D2Q9 lattice spaces associated with the Bhatnagar-Gross-Krook (BGK) collision term to solve ...
Arman Safdari, Kyung Chun Kim
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